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values | abstract stringlengths 73 1.64k | versions list | update_date timestamp[us] | authors_parsed sequence | primary_category stringclasses 1
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1998-05-11T05:39:17 | 9708 | alg-geom/9708002 | en | https://arxiv.org/abs/alg-geom/9708002 | [
"alg-geom",
"math.AG"
] | alg-geom/9708002 | James A. Carlson | James A. Carlson and Domingo Toledo | Discriminant Complements and Kernels of Monodromy Representations | 20 page dvi file available at
http://www.math.utah.edu/~carlson/eprints.html Minor changes for final
version to appear in Duke J. Math | null | null | null | null | We show that the kernel of the monodromy representation for hypersurfaces of
degree d and dimension n is large for d at least three with the exception of
the cases (d,n) = (3,0) and (3,1). For these the kernel is finite. By "large"
we mean a group that admits a homomorphism to a semisimple Lie group of
noncompact typ... | [
{
"version": "v1",
"created": "Fri, 1 Aug 1997 23:18:27 GMT"
},
{
"version": "v2",
"created": "Fri, 13 Feb 1998 16:48:02 GMT"
},
{
"version": "v3",
"created": "Mon, 11 May 1998 03:39:15 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Carlson",
"James A.",
""
],
[
"Toledo",
"Domingo",
""
]
] | alg-geom | \section{Introduction}
\secref{introsection}
A hypersurface of degree $d$ in a complex projective space
$\P^{n+1}$ is defined by an equation of the form
$$
F(x) = \sum a_L x^L = 0,
\eqn
\eqref{universalhypersurface}
$$
where $x^L = x_0^{L_0} \cdots x_{n+1}^{L_{n+1}}$ is a monomial of degree
$d$ and where t... |
1997-08-14T10:59:42 | 9708 | alg-geom/9708012 | en | https://arxiv.org/abs/alg-geom/9708012 | [
"alg-geom",
"math.AG"
] | alg-geom/9708012 | Lothar Goettsche | Barbara Fantechi, Lothar G\"ottsche, Duco van Straten | Euler number of the compactified Jacobian and multiplicity of rational
curves | LaTeX, 16 pages with 1 figure | null | null | null | null | We show that the Euler number of the compactified Jacobian of a rational
curve $C$ with locally planar singularities is equal to the multiplicity of the
$\delta$-constant stratum in the base of a semi-universal deformation of $C$.
In particular, the multiplicity assigned by Yau, Zaslow and Beauville to a
rational cur... | [
{
"version": "v1",
"created": "Thu, 14 Aug 1997 08:59:50 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Fantechi",
"Barbara",
""
],
[
"Göttsche",
"Lothar",
""
],
[
"van Straten",
"Duco",
""
]
] | alg-geom | \section{Introduction}
Let $C$ be a reduced and irreducible projective curve with singular set
$\Sigma \subset C$ and let $n: \widetilde{C} \longrightarrow C$ be
its normalisation. The generalised Jacobian $JC$ of $C$ is an extension of
$J\widetilde{C}$ by an affine commutative group of dimension
$$\delta:=\dim H^0(n_... |
1997-12-16T01:08:53 | 9708 | alg-geom/9708007 | en | https://arxiv.org/abs/alg-geom/9708007 | [
"alg-geom",
"math.AG"
] | alg-geom/9708007 | Yuri G. Zarhin | Yuri G. Zarhin | Torsion of abelian varieties, Weil classes and cyclotomic extensions | LaTeX 2e 17 pages | null | null | null | null | Let $K$ be a field finitely generated over the field of rational numbers,
$K(c)$ the extension of $K$ obtained by adjoining all roots of unity, $L$ an
infinite Galois extension of $K$, $X$ an abelian variety defined over $K$. We
prove that under certain conditions on $X$ and $K$ the existence of infinitely
many L-rat... | [
{
"version": "v1",
"created": "Mon, 4 Aug 1997 23:46:42 GMT"
},
{
"version": "v2",
"created": "Wed, 27 Aug 1997 19:17:28 GMT"
},
{
"version": "v3",
"created": "Wed, 3 Sep 1997 15:12:11 GMT"
},
{
"version": "v4",
"created": "Tue, 9 Sep 1997 16:53:41 GMT"
},
{
"vers... | 2008-02-03T00:00:00 | [
[
"Zarhin",
"Yuri G.",
""
]
] | alg-geom | \section{Main construction}
Let $F$ be the center of $\mathrm{End}_K(X)\otimes{\mathbf Q}$, $R_F=F\bigcap \mathrm{End}_K(X)$ the center of $\mathrm{End}_K(X)$. We put
$$V_{{\mathbf Z}}=V_{{\mathbf Z}}(X)=H_1(X({\mathbf C}),{\mathbf Z}), \quad V=V(X)=H_1(X({\mathbf C}),{\mathbf Q})= V_{{\mathbf Z}}\otimes{\mathbf Q}.... |
1997-08-22T16:19:27 | 9708 | alg-geom/9708020 | en | https://arxiv.org/abs/alg-geom/9708020 | [
"alg-geom",
"math.AC",
"math.AG"
] | alg-geom/9708020 | Gunnar Floystad | Gunnar Floystad | A property deducible from the generic initial ideal | Completely revised compared to earlier hardcopy versions. AMS-Latex
v1.2, 13 pages | Journal of Pure and Applied Algebra, 136 (1999), no.2, p.127-140 | 10.1016/S0022-4049(97)00165-5 | null | null | " Let $S_d$ be the vector space of monomials of degree $d$ in the variables\n$x_1, ..., x_s$. For a(...TRUNCATED) | [
{
"version": "v1",
"created": "Fri, 22 Aug 1997 14:19:15 GMT"
}
] | 2011-12-14T00:00:00 | [
[
"Floystad",
"Gunnar",
""
]
] | alg-geom | "\\section*{Introduction}\n\nDuring the recent years the generic initial ideal of a homogeneous idea(...TRUNCATED) |
1997-08-22T10:49:15 | 9708 | alg-geom/9708019 | en | https://arxiv.org/abs/alg-geom/9708019 | [
"alg-geom",
"math.AG"
] | alg-geom/9708019 | Alexander A. Voronov | Alexander A. Voronov (RIMS and M.I.T.) | Stability of the Rational Homotopy Type of Moduli Spaces | 7 pages, 1 figure | null | null | RIMS-1157 | null | " We show that for g > 2k+2 the k-rational homotopy type of the moduli space\nM_{g,n} of algebraic (...TRUNCATED) | [
{
"version": "v1",
"created": "Fri, 22 Aug 1997 08:49:13 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Voronov",
"Alexander A.",
"",
"RIMS and M.I.T."
]
] | alg-geom | "\\section*{Introduction}\n\nThe description of the algebraic topology of the moduli space\n$\\mgn{g(...TRUNCATED) |
1997-08-07T16:22:05 | 9708 | alg-geom/9708010 | en | https://arxiv.org/abs/alg-geom/9708010 | [
"alg-geom",
"math.AG",
"math.QA",
"q-alg"
] | alg-geom/9708010 | Carlos Simpson | Carlos Simpson (CNRS, Universit\'e Paul Sabatier, Toulouse, France) | Limits in $n$-categories | Approximately 90 pages | null | null | null | null | " We define notions of direct and inverse limits in an $n$-category. We prove\nthat the $n+1$-categ(...TRUNCATED) | [
{
"version": "v1",
"created": "Thu, 7 Aug 1997 16:31:55 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Simpson",
"Carlos",
"",
"CNRS, Université Paul Sabatier, Toulouse, France"
]
] | alg-geom | "\\section*{Limits in $n$-categories}\n\nCarlos Simpson\\newline\nCNRS, UMR 5580, Universit\\'e Paul(...TRUNCATED) |
1997-08-18T09:52:59 | 9708 | alg-geom/9708014 | en | https://arxiv.org/abs/alg-geom/9708014 | [
"alg-geom",
"math.AG"
] | alg-geom/9708014 | Leticia B. Paz | L. Brambila-Paz and H. Lange | A stratification of the moduli space of vector bundles on curves | Latex, Permanent e-mail L. Brambila-Paz: lebp@xanum.uam.mx
Classification: 14D, 14F | null | null | null | null | " Let $E$ be a vector bundle of rank $r\\geq 2$ on a smooth projective curve $C$\nof genus $g \\geq(...TRUNCATED) | [
{
"version": "v1",
"created": "Mon, 18 Aug 1997 07:52:26 GMT"
}
] | 2016-08-30T00:00:00 | [
[
"Brambila-Paz",
"L.",
""
],
[
"Lange",
"H.",
""
]
] | alg-geom | "\\section{The invariants ${ {}{\\mbox{\\euf s}_k}}(E)$}\n\n\nLet $C$ be a smooth projective curve o(...TRUNCATED) |
1998-08-05T18:28:10 | 9708 | alg-geom/9708011 | en | https://arxiv.org/abs/alg-geom/9708011 | [
"alg-geom",
"math.AG"
] | alg-geom/9708011 | Balazs Szendroi | Balazs Szendroi | Some finiteness results for Calabi-Yau threefolds | "15 pages LaTex, uses amstex, amscd. New title, paper completely\n rewritten, results same as in pr(...TRUNCATED) | null | null | null | null | " We investigate the moduli theory of Calabi--Yau threefolds, and using\nGriffiths' work on the per(...TRUNCATED) | [{"version":"v1","created":"Tue, 12 Aug 1997 15:15:06 GMT"},{"version":"v2","created":"Wed, 29 Oct 1(...TRUNCATED) | 2008-02-03T00:00:00 | [
[
"Szendroi",
"Balazs",
""
]
] | alg-geom | "\\section*{Introduction}\n\nIf $X$ is a smooth complex projective $n$-fold, \nHodge--Lefschetz theo(...TRUNCATED) |
1997-08-26T19:03:35 | 9708 | alg-geom/9708022 | en | https://arxiv.org/abs/alg-geom/9708022 | [
"alg-geom",
"math.AC",
"math.AG"
] | alg-geom/9708022 | Uwe Nagel | J. C. Migliore, U. Nagel, C. Peterson | Buchsbaum-Rim sheaves and their multiple sections | 27 pages, AMS-LaTeX | null | null | null | null | " This paper begins by introducing and characterizing Buchsbaum-Rim sheaves on\n$Z = \\Proj R$ wher(...TRUNCATED) | [
{
"version": "v1",
"created": "Tue, 26 Aug 1997 17:03:21 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Migliore",
"J. C.",
""
],
[
"Nagel",
"U.",
""
],
[
"Peterson",
"C.",
""
]
] | alg-geom | "\\section{Introduction}\n\nA fundamental method for constructing algebraic varieties is to\nconside(...TRUNCATED) |
2005-11-19T08:38:21 | 9708 | alg-geom/9708006 | en | https://arxiv.org/abs/alg-geom/9708006 | [
"alg-geom",
"math.AC",
"math.AG"
] | alg-geom/9708006 | Joseph Lipman | Leovigildo Alonso, Ana Jeremias, Joseph Lipman | Duality and flat base change on formal schemes | "89 pages. Change from published version: in section 2.5, about\n dualizing complexes on formal sch(...TRUNCATED) | Contemporary Math. 244 (1999), 3-90 | null | null | null | " We give several related versions of global Grothendieck Duality for unbounded\ncomplexes on noeth(...TRUNCATED) | [{"version":"v1","created":"Mon, 4 Aug 1997 17:48:14 GMT"},{"version":"v2","created":"Wed, 14 Oct 19(...TRUNCATED) | 2008-02-03T00:00:00 | [
[
"Alonso",
"Leovigildo",
""
],
[
"Jeremias",
"Ana",
""
],
[
"Lipman",
"Joseph",
""
]
] | alg-geom | "\\section{Preliminaries and main theorems.}\n\\label{S:prelim}\n\nFirst we need some notation and t(...TRUNCATED) |
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