Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models - Brossura

Casalaina-martin, Sebastian; Grushevsky, Samuel; Hulek, Klaus; Laza, Radu

Brossura

ISBN 10: 1470460203 ISBN 13: 9781470460204

Casa editrice: Amer Mathematical Society, 2023

Riassunto

"We compute and compare the (intersection) cohomology of various natural geometric compactifications of the moduli space of cubic threefolds: the GIT compactification and its Kirwan blowup, as well as the Baily-Borel and toroidal compactifications of theball quotient model, due to Allcock-Carlson-Toledo. Our starting point is Kirwan's method. We then follow by investigating the behavior of the cohomology under the birational maps relating the various models, using the decomposition theorem in different ways, and via a detailed study of the boundary of the ball quotient model. As an easy illustration of our methods, the simpler case of the moduli space of cubic surfaces is discussed in an appendix"--

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 1470460203
• ISBN 13: 9781470460204
• Rilegatura: Copertina flessibile
• Numero di pagine: 100
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile