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Effective divisors on Bott-Samelson vari...
Anderson, Dave...

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Effective divisors on Bott-Samelson varieties by Anderson, Dave ( Author )
Lemonjar Open Access
Australian National University
06-09-2023
We compute the cone of effective divisors on a Bott-Samelson variety corresponding to an arbitrary sequence of simple roots. The main tool is a general result concerning effective cones of certain $B$-equivariant $\mathbb{P}^1$ bundles. As an application, we compute the cone of effective codimension-two cycles on Bott-Samelson varieties corresponding to reduced words. We also obtain an auxiliary result giving criteria for a Bott-Samelson variety to contain a dense $B$-orbit, and we construct desingularizations of intersections of Schubert varieties. An appendix exhibits an explicit divisor showing that any Bott-Samelson variety is log Fano.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1501.00034
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