Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Ananyo Dan"'
Autor:
Ananyo Dan, Inder Kaur
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 201:2907-2926
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
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c34834aca6b5d8a17e865ea1d8053444
https://doi.org/10.1007/s10231-022-01225-7
https://doi.org/10.1007/s10231-022-01225-7
Autor:
Ananyo Dan
Publikováno v:
BIRD: BCAM's Institutional Repository Data
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For $d \ge 4$, the Noether-Lefschetz locus $\mathrm{NL}_d$ parametrizes smooth, degree $d$ surfaces in $\mathbb{P}^3$ with Picard number at least $2$. A conjecture of Harris states that there are only finitely many irreducible components of the Noeth
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http://arxiv.org/abs/2204.08079
http://arxiv.org/abs/2204.08079
Autor:
Ananyo Dan, Inder Kaur
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
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http://arxiv.org/abs/2204.08075
http://arxiv.org/abs/2204.08075
Autor:
Indranil Biswas, Ananyo Dan
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
Given a smooth, projective variety $X$ and an effective divisor $D\,\subseteq\, X$, it is well-known that the (topological) obstruction to the deformation of the fundamental class of $D$ as a Hodge class, lies in $H^2(\mathcal{O}_X)$. In this article
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http://arxiv.org/abs/2011.07452
http://arxiv.org/abs/2011.07452
Autor:
Inder Kaur, Ananyo Dan
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
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
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http://arxiv.org/abs/2001.02303
http://arxiv.org/abs/2001.02303
Autor:
Ananyo Dan
Publikováno v:
Mathematische Nachrichten. 290:2800-2814
A classical example of Mumford gives a generically non-reduced component of the Hilbert scheme of smooth curves in P3 such that a general element of the component is contained in a smooth cubic surface in P3. In this article we use techniques from Ho
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https://doi.org/10.1002/mana.201600356
https://doi.org/10.1002/mana.201600356
Autor:
Inder Kaur, Ananyo Dan
Publikováno v:
BIRD: BCAM's Institutional Repository Data
instname
instname
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
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https://doi.org/10.1016/j.jnt.2019.03.001
https://doi.org/10.1016/j.jnt.2019.03.001
Autor:
Inder Kaur, Ananyo Dan
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:
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Newstead gave the generators of the cohomology ring of the moduli space of rank 2 semi-stable, torsion-free sheaves with fixed odd degree determinant over a smooth, projective curve. In this article, we generalize this result to the case when the und
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bf59dd0fd99f0e9641e31c033d57b30
Autor:
Ananyo Dan, Inder Kaur
Publikováno v:
Comptes Rendus Mathematique. 354:297-300
We know that semi-regular sub-varieties satisfy the variational Hodge conjecture i.e., given a family of smooth projective varieties $\pi:\mathcal{X} \to B$, a special fiber $\mathcal{X}_o$ and a semi-regular subvariety $Z \subset \mathcal{X}_o$, the
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https://doi.org/10.1016/j.crma.2016.01.005
https://doi.org/10.1016/j.crma.2016.01.005