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Cohomology Of The Moduli Space Of Cubic Threefolds And Its Smooth Models
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Author :Sebastian Casalaina-Martin Publisher :American Mathematical Society ISBN 13 :1470460203 Total Pages :112 pages Book Rating :4.4/5 (74 download)
Book Synopsis Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models by : Sebastian Casalaina-Martin
Download or read book Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models written by Sebastian Casalaina-Martin and published by American Mathematical Society. This book was released on 2023-02-13 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models by : Sebastian Casalaina-Martin
Download or read book Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models written by Sebastian Casalaina-Martin and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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 the ball 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."--Page v.
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