By Ke-Zheng Li, Frans Oort
Abelian types might be categorised through their moduli. In confident attribute the constitution of the p-torsion-structure is an extra, great tool. For that constitution supersingular abelian kinds could be thought of the main certain ones. they supply a kick off point for the high quality description of varied constructions. For low dimensions the moduli of supersingular abelian forms is by means of now good understood. during this ebook we offer an outline of the supersingular locus in all dimensions, particularly we compute the measurement of it: it seems to be equivalent to Äg.g/4Ü, and we convey the variety of parts as a category quantity, therefore finishing an extended historic line the place exact circumstances have been studied and basic effects have been conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).
Read Online or Download Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics) PDF
Best Algebraic Geometry books
Contents and therapy are clean and intensely assorted from the normal remedies offers a completely confident model of what it ability to do algebra The exposition is not just transparent, it's pleasant, philosophical, and thoughtful even to the main naive or green reader
Within the spring of 1976, George Andrews of Pennsylvania country college visited the library at Trinity university, Cambridge, to envision the papers of the overdue G. N. Watson. between those papers, Andrews came across a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript was once quickly specified "Ramanujan's misplaced computing device.
This can be a e-book approximately major numbers, congruences, mystery messages, and elliptic curves for you to learn conceal to hide. It grew out of undergr- uate classes that the writer taught at Harvard, UC San Diego, and the college of Washington. The systematic research of quantity conception was once initiated round 300B.
"It provides a delicate portrait of a superb man or woman. It describes appropriately and intelligibly on a nontechnical point the realm of mathematical rules during which Hilbert created his masterpieces. And it illuminates the heritage of German social historical past opposed to which the drama of Hilberts existence was once performed.
Additional info for Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics)