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pro vyhledávání: '"KAUR, INDER"'
Autor:
Kaur, Inder, Prendergast-Smith, Artie
For a Calabi-Yau variety X, Oguiso gave a useful criterion for primitivity of a self-map of X in terms of the associated linear map on the Neron--Severi space of X. In this short note, we prove a variant of Oguiso's criterion and use it to verify pri
Externí odkaz:
http://arxiv.org/abs/2404.01915
We construct a moduli space of semi-homogeneous vector bundles with a fixed N\'eron-Severi class $H$ on an abelian variety $A$ over an algebraically closed field of characteristic zero. When $A$ has totally degenerate reduction over a non-Archimedean
Externí odkaz:
http://arxiv.org/abs/2312.12980
Autor:
Dan, Ananyo, Kaur, Inder
In this article we study the (cohomological) Hodge conjecture for singular varieties. We prove the conjecture for simple normal crossing varieties that can be embedded in a family where the Mumford-Tate group remains constant. We show how to produce
Externí odkaz:
http://arxiv.org/abs/2301.01005
Autor:
Dan, Ananyo, Kaur, Inder
Let $K$ be a $C_1$-field of any characteristic and $X$ a projective variety over $K$. In this article we prove that for a finite Galois extension $L$ of $K$, a simple sheaf with covering datum on $X \times_K L$ descends to a simple sheaf on $X$. As a
Externí odkaz:
http://arxiv.org/abs/2204.08075
Autor:
Dan, Ananyo, Kaur, Inder
Let $\pi_1:\mathcal{X} \to \Delta$ be a flat family of smooth, projective curves of genus $g \ge 2$, degenerating to an irreducible nodal curve $X_0$ with exactly one node. Fix an invertible sheaf $\mathcal{L}$ on $\mathcal{X}$ of relative odd degree
Externí odkaz:
http://arxiv.org/abs/2001.02303
Autor:
Dan, Ananyo, Kaur, Inder
Let $K$ be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field $k$. In this article we give a sufficient criterion for a projective variety over such a field to have index $1$.
Comment: Published in
Comment: Published in
Externí odkaz:
http://arxiv.org/abs/2001.01210
Autor:
Kaur, Inder
Let $R$ be an excellent Henselian discrete valuation ring with algebraically closed residue field $k$ of any characteristic. Fix integers $r,d$ with $r\ge 2$. Let $X_R$ be a regular fibred surface over Spec($R$) with special fibre denoted $X_k$, a ge
Externí odkaz:
http://arxiv.org/abs/2001.01207
Autor:
Kaur, Inder
Let $K$ be a field of characteristic 0. Fix integers $r,d$ coprime with $r \geq 2$. Let $X_K$ be a smooth, projective, geometrically connected curve of genus $g \geq 2$ defined over K. Assume there exists a line bundle $L_K$ on $X_K$ of degree $d$. I
Externí odkaz:
http://arxiv.org/abs/2001.01206
Autor:
Dan, Ananyo, Kaur, Inder
In this article, we prove the Hodge conjecture for a desingularization of the moduli space of rank 2, semi-stable, torsion-free sheaves with fixed odd degree determinant over a very general irreducible nodal curve of genus at least 2. We also compute
Externí odkaz:
http://arxiv.org/abs/2001.01198
Autor:
Dan, Ananyo, Kaur, Inder
A conjecture of Mumford predicts a complete set of relations between the generators of the cohomology ring of the moduli space of rank 2 semi-stable sheaves with fixed odd degree determinant on a smooth, projective curve of genus at least 2. The conj
Externí odkaz:
http://arxiv.org/abs/1908.02279