Categorical characterization of quadrics
Duo Li
TL;DR
This paper characterizes smooth quadrics using the existence of specific full exceptional collections, extending previous results known for projective spaces.
Contribution
It generalizes C.Vial's characterization of projective spaces to smooth quadrics through categorical methods.
Findings
Characterization of smooth quadrics via exceptional collections
Extension of Vial's results from projective spaces to quadrics
Advancement in categorical understanding of algebraic varieties
Abstract
We give a characterization of smooth quadrics in terms of the existence of full exceptional collections of certain type, which generalizes a result of C.Vial for projective spaces.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry