Quot schemes and Fourier-Mukai transformation
Indranil Biswas, Umesh V Dubey, Manish Kumar, A. J. Parameswaran
TL;DR
This paper explores Fourier-Mukai transformations involving Quot schemes, presenting methods to demonstrate their conservativity, thereby advancing understanding of their categorical and geometric properties.
Contribution
It introduces a novel approach to prove the conservativity of Fourier-Mukai transformations related to Quot schemes.
Findings
Established criteria for conservativity of Fourier-Mukai transforms
Applied methods to specific Quot scheme examples
Enhanced understanding of categorical equivalences in algebraic geometry
Abstract
We consider several related examples of Fourier-Mukai transformations involving the quot scheme. A method of showing conservativity of these Fourier-Mukai transformations is described.
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Taxonomy
Topicsadvanced mathematical theories · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models