| Softcover ISBN: | 978-2-85629-922-7 |
| Product Code: | SMFMEM/164 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
| Softcover ISBN: | 978-2-85629-922-7 |
| Product Code: | SMFMEM/164 |
| List Price: | $52.00 |
| AMS Member Price: | $41.60 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 164; 2020; 198 ppMSC: Primary 35; 57; 58; 53; 14; 55; 33; 34
In genus 1, the authors make explicit certain constructions of Veech on flat surfaces and generalize geometric results of Thurston on spaces of modules of flat spheres as well as equivalent results of Deligne and Mostow, of an analytico-cohomological nature, which concern the monodromy of the hypergeometric functions of Appell-Lauricella.
In a twin paper, the authors again take Thurston's approach and study the spaces of flat toroid modules with conical singularities and with prescribed holonomy via geometric methods obtained by means of surgical operations made on the considered flat surfaces. In this thesis, they study the same objects using analytical and cohomological methods, more in the spirit of the article by Deligne and Mostow.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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In genus 1, the authors make explicit certain constructions of Veech on flat surfaces and generalize geometric results of Thurston on spaces of modules of flat spheres as well as equivalent results of Deligne and Mostow, of an analytico-cohomological nature, which concern the monodromy of the hypergeometric functions of Appell-Lauricella.
In a twin paper, the authors again take Thurston's approach and study the spaces of flat toroid modules with conical singularities and with prescribed holonomy via geometric methods obtained by means of surgical operations made on the considered flat surfaces. In this thesis, they study the same objects using analytical and cohomological methods, more in the spirit of the article by Deligne and Mostow.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
