10 papers
Extendability of general surfaces without Gaussian maps and classification of non-prime Fano threefolds
Purnaprajna Bangere, Jayan Mukherjee
In arXiv:2409.03960, we introduced an approach to the question of extendability of projective varieties via degeneration to ribbons. In this article we build on these methods to gi…
Extendability of projective varieties via degeneration to ribbons with applications to Calabi-Yau threefolds
Purnaprajna Bangere, Jayan Mukherjee
In this article we study the extendability of a smooth projective variety by degenerating it to a ribbon. We apply the techniques to study extendability of Calabi-Yau threefolds $X…
Projective smoothing of varieties with simple normal crossings
Purnaprajna Bangere, Francisco Javier Gallego, Jayan Mukherjee
In this article, we introduce a new approach to show the existence and smoothing of simple normal crossing varieties in a given projective space. Our approach relates the above to…
Syzygies of adjoint linear series on projective varieties
Purnaprajna Bangere, Justin Lacini
Let X be a smooth complex projective variety of dimension n and let A be an ample and basepoint free divisor. We prove satisfies property for . We…
Koszul property of Ulrich bundles and rationality of moduli spaces of stable bundles on Del Pezzo surfaces
Purnaprajna Bangere, Jayan Mukherjee, Debaditya Raychaudhury
Let be a vector bundle on a smooth projective variety that is Ulrich with respect to the hyperplane section . In this article, we study th…
Deformations and moduli of irregular canonical covers with
Purnaprajna Bangere, Francisco Javier Gallego, Jayan Mukherjee +1
In this article, we study the moduli of irregular surfaces of general type with at worst canonical singularities satisfying , for any even integer . T…
On higher dimensional extremal varieties of general type
Purnaprajna Bangere, Jungkai Alfred Chen, Francisco Javier Gallego
Relations among fundamental invariants play an important role in algebraic geometry. It is known that an -dimensional variety of general type with nef canonical divisor and cano…
Construction of varieties of low codimension with applications to moduli spaces of varieties of general type
Purnaprajna Bangere, Francisco Javier Gallego, Jayan Mukherjee +1
In this article we develop a new way of systematically constructing infinitely many families of smooth subvarieties of any given dimension , , and any given codime…
K3 carpets on minimal rational surfaces and their smoothings
Purnaprajna Bangere, Jayan Mukherjee, Debaditya Raychaudhury
In this article, we study K3 double structures on minimal rational surfaces . The results show there are infinitely many non-split abstract K3 double structures on $Y = \mathbb{…
Deformations of hyperelliptic and generalized hyperelliptic polarized varieties
Purnaprajna Bangere, Francisco Javier Gallego, Miguel González
In this article we study the deformations of hyperelliptic polarized varieties of dimension and sectional genus such that the image of the morphism induced…