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Geometric Invariant Theory for Polarized Curves
Bini, Gilberto; Felici, Fabio; Melo, Margarida; Viviani, Filippo
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Description for Geometric Invariant Theory for Polarized Curves
Paperback. Series: Lecture Notes in Mathematics. Num Pages: 221 pages, 17 black & white illustrations, biography. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 12. Weight in Grams: 349.
We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the first three values of d at which the GIT quotients change are given by d=a(2g-2) where a=2, 3.5, 4. We show that, for a>4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If 3.5
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
221
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
211
Place of Publication
Cham, Switzerland
ISBN
9783319113364
SKU
V9783319113364
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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