| dc.identifier.uri | http://hdl.handle.net/11401/76409 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | In this thesis we consider the space of rational curves on a smooth cyclic cover of Pn. These varieties are the simplest examples of Fano varieties beyond the classical examples of complete intersections in homogeneous spaces. We show that for a general cyclic cover, the Kontsevich moduli stack of stable curves in X is irreducible and has the expected dimension. Specifically, let X be a general smooth cyclic cover of Pn of degree r branched over a divisor of degree rd, and let M(X,e) be the Kontsevich moduli stack of stable rational curves of degree e on X. We show that if 2d(r-1)<n then this space is irreducible with the expected dimension e(n-(r-1)d+1) +n -3 +k. | |
| dcterms.available | 2017-09-20T16:50:11Z | |
| dcterms.contributor | Starr, Jason | en_US |
| dcterms.contributor | Starr, Jason M | en_US |
| dcterms.contributor | Grushevsky, Samuel | en_US |
| dcterms.contributor | Lazarsfeld, Robert | en_US |
| dcterms.contributor | Beheshti, Roya. | en_US |
| dcterms.creator | Smith, Lloyd | |
| dcterms.dateAccepted | 2017-09-20T16:50:11Z | |
| dcterms.dateSubmitted | 2017-09-20T16:50:11Z | |
| dcterms.description | Department of Mathematics. | en_US |
| dcterms.extent | 55 pg. | en_US |
| dcterms.format | Monograph | |
| dcterms.format | Application/PDF | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/76409 | |
| dcterms.issued | 2014-12-01 | |
| dcterms.language | en_US | |
| dcterms.provenance | Made available in DSpace on 2017-09-20T16:50:11Z (GMT). No. of bitstreams: 1
Smith_grad.sunysb_0771E_11732.pdf: 463538 bytes, checksum: 6bcc6f52cfaf1e43073460823d4e03d4 (MD5)
Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Mathematics | |
| dcterms.title | The Kontsevich Space of Rational Curves on Cyclic Covers of Projective Space | |
| dcterms.type | Dissertation | |
