K-theoretic exceptional collections at roots of unity
2010 ◽
Vol 7
(1)
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pp. 169-201
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Keyword(s):
AbstractUsing cyclotomic specializations of equivariant K-theory with respect to a torus action we derive congruences for discrete invariants of exceptional objects in derived categories of coherent sheaves on a class of varieties that includes Grassmannians and smooth quadrics. For example, we prove that if , where the ni's are powers of a fixed prime number p, then the rank of an exceptional object on X is congruent to ±1 modulo p.
2020 ◽
Vol 2020
(769)
◽
pp. 87-119
Keyword(s):
2020 ◽
Vol 296
(3-4)
◽
pp. 1387-1427
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1993 ◽
Vol 41
(1)
◽
pp. 133-141
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2007 ◽
Vol 76
(1)
◽
pp. 122-134
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