Details
| Original language | English |
|---|---|
| Pages (from-to) | 29-41 |
| Number of pages | 13 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 146 |
| Issue number | 1 |
| Early online date | 28 Jul 2017 |
| Publication status | Published - 2017 |
Abstract
We are interested in stringy invariants of singular projective algebraic varieties satisfying a strict monotonicity with respect to elementary birational modifications in the Mori program. We conjecture that the algebraic stringy Euler number is one of such invariants. In the present paper, we prove this conjecture for varieties having an action of a connected algebraic group G and admitting equivariant desingularizations with only finitely many G-orbits. In particular, we prove our conjecture for arbitrary projective spherical varieties.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Proceedings of the American Mathematical Society, Vol. 146, No. 1, 2017, p. 29-41.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the algebraic stringy euler number
AU - Batyrev, Victor
AU - Gagliardi, Giuliano
PY - 2017
Y1 - 2017
N2 - We are interested in stringy invariants of singular projective algebraic varieties satisfying a strict monotonicity with respect to elementary birational modifications in the Mori program. We conjecture that the algebraic stringy Euler number is one of such invariants. In the present paper, we prove this conjecture for varieties having an action of a connected algebraic group G and admitting equivariant desingularizations with only finitely many G-orbits. In particular, we prove our conjecture for arbitrary projective spherical varieties.
AB - We are interested in stringy invariants of singular projective algebraic varieties satisfying a strict monotonicity with respect to elementary birational modifications in the Mori program. We conjecture that the algebraic stringy Euler number is one of such invariants. In the present paper, we prove this conjecture for varieties having an action of a connected algebraic group G and admitting equivariant desingularizations with only finitely many G-orbits. In particular, we prove our conjecture for arbitrary projective spherical varieties.
UR - http://www.scopus.com/inward/record.url?scp=85034261116&partnerID=8YFLogxK
U2 - 10.1090/proc/13702
DO - 10.1090/proc/13702
M3 - Article
AN - SCOPUS:85034261116
VL - 146
SP - 29
EP - 41
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 1
ER -