2 code implementations • 20 Jun 2018 • Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay
We give the first examples of smooth Fano and Calabi-Yau varieties violating the (narrow) canonical strip hypothesis, which concerns the location of the roots of Hilbert polynomials of polarised varieties.
Algebraic Geometry 14J45, 14J32, 14D20
no code implementations • 11 Sep 2020 • Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay
We discuss some evidence for, and furthermore propose semiorthogonal decompositions with additional structure.
Algebraic Geometry Geometric Topology Quantum Algebra Symplectic Geometry
no code implementations • 5 Mar 2021 • Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth
For a simple, simply connected, complex group G, we prove the existence of a flat projective connection on the bundle of nonabelian theta functions on the moduli space of semistable parabolic G-bundles over families of smooth projective curves with marked points.
Algebraic Geometry High Energy Physics - Theory Differential Geometry Representation Theory Primary: 14H60, 32G34, 53D50, Secondary: 81T40, 14F08
