Pregled bibliografske jedinice broj: 969518
Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties
Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties // Proceedings in honour of Nigel Hicthin's 70th birthday / Andersen, J.E. ; Dancer, A. ; Garcia-Prada, O. (ur.).
Oxford: Oxford University Press, 2018. str. 581-610
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Naslov
Stable Betti Numbers of (Partial) Toroidal Compactifications of the Moduli Space of Abelian Varieties
Autori
Grushevsky, Samuel ; Hulek, Klaus ; Tommasi, Orsola
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Proceedings in honour of Nigel Hicthin's 70th birthday
Urednik/ci
Andersen, J.E. ; Dancer, A. ; Garcia-Prada, O.
Izdavač
Oxford University Press
Grad
Oxford
Godina
2018
Raspon stranica
581-610
ISBN
9780198802013
Ključne riječi
Toroidal compactification ; Moduli Spaces ; Polyhedral Complex
Sažetak
We present an algorithm for explicitly computing the number of generators of the stable cohomology algebra of any rationally smooth partial toroidal compactification of $\ab$ satisfying certain additivity and finiteness properties, in terms of the combinatorics of the corresponding toric fans. In particular the algorithm determines the stable cohomology of the matroidal partial compactification Matr, in terms of matroids that are irreducible with respect to the 1-sum and their automorphism groups. The algorithm also applies to compute the stable Betti numbers in close to top degree for the perfect cone toroidal compactification Perf. This suggests the existence of an algebra structure on the cohomology of the perfect toroidal compactification.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Appendix by Mathieu Dutour Sikiric
