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Stable betti number...
Stable betti numbers of (Partial) toroidal compactifications of the moduli space of Abelian varieties
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- Grushevsky, Samuel (author)
- Stony Brook University
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- Hulek, Klaus (author)
- University of Hanover, Germany
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- Tommasi, Orsola, 1974 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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- Sikirić, Mathieu Dutour (author)
- Ruder Boskovic Institute
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(creator_code:org_t)
- Oxford University PressOxford, 2018
- 2018
- English.
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In: Geometry and Physics: A Festschrift in Honour of Nigel Hitchin. - : Oxford University PressOxford. ; 2, s. 582-610, s. 582-610
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Abstract
Subject headings
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- We present an algorithm for explicitly computing the number of generators of the stable cohomology algebra of any rationally smooth partial toroidal compactification ofA g 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 A Matrg , in terms of simple regular matroids that are irreducible with respect to the 1-sum operation, 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 APerf g. This suggests the existence of an algebra structure on H top−kstable (A Perfg , Q).
Subject headings
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- Moduli space
- Toroidal compactification
- Partial compactification
- Betti number
- Abelian varieties
- Abelian varieties
- Betti number
- Moduli space
- Partial compactification
- Toroidal compactification
Publication and Content Type
- kap (subject category)
- vet (subject category)
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