On the rationality of Nagaraj–Seshadri moduli space

Barik, Pabitra; Dey, Arijit; Suhas, B. N.

doi:10.1016/j.bulsci.2016.06.001

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Cited by 6 publications

(2 citation statements)

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“…Recently, it has been shown that the irreducible components M 12 and M 21 of

M_{ξ}

are rational varieties (cf. ). In particular, they are unirational and hence by a result of Serre they are simply connected.…”

Section: Introductionmentioning

confidence: 97%

Intersection Poincaré Polynomial for Nagaraj–Seshadri moduli space

Barik

Dey

Suhas

2017

Mathematische Nachrichten

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“…Recently, it has been shown that the irreducible components M 12 and M 21 of

M_{ξ}

are rational varieties (cf. ). In particular, they are unirational and hence by a result of Serre they are simply connected.…”

Section: Introductionmentioning

confidence: 97%

Intersection Poincaré Polynomial for Nagaraj–Seshadri moduli space

Barik

Dey

Suhas

2017

Mathematische Nachrichten

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“…This is needed for computing the limit mixed Hodge structure using Steenbrink spectral sequences. In recent years several authors have studied the algebraic and geometric properties of the Gieseker's moduli space (see for example [5,6,11]). We believe that Theorem 1.1 holds for any number of nodes.…”

Section: Introductionmentioning

confidence: 99%

Degeneration of Intermediate Jacobians and the Torelli Theorem

2019

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Mumford and Newstead generalized the classical Torelli theorem to higher rank, i.e. a smooth, projective curve X is uniquely determined by the second intermediate Jacobian of the moduli space of stable rank 2 bundles on X, with fixed odd degree determinant. In this article we prove the analogous result in the case X is an irreducible nodal curve with one node. As a byproduct, we obtain the degeneration of the second intermediate Jacobians and the associated Néron model of a family of such moduli spaces.

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