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 May 2020 • Pieter Belmans, Alexander Kuznetsov, Maxim Smirnov
A general hyperplane section of the Cayley plane is the coadjoint Grassmannian of Dynkin type $\mathrm{F}_4$.
Algebraic Geometry Representation Theory Symplectic Geometry
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