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On Toric Varieties and Endomorphisms
On Toric Varieties and Endomorphisms
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105642
- ISBN
- 9798265484512
- DDC
- 510
- 서명/저자
- On Toric Varieties and Endomorphisms
- 발행사항
- [Sl] : University of California, Los Angeles, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 80 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-06, Section: B.
- 주기사항
- Advisor: Totaro, Burt.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Los Angeles, 2025.
- 초록/해제
- 요약This thesis has two parts. The first part explores which Picard rank 1 Gorenstein del Pezzo surfaces admit int-amplified endomorphisms. I show that, in all but one case, a rank 1 Gorenstein del Pezzo surface admits an int-amplified endomorphism if and only if it is a certain quotient of a toric variety. The second part is joint work with Zhengning Hu. We develop a method to classify rank 3 smooth weak Fano toric varieties in any dimension using computer algebra system Macaulay2, and complete the classification in dimensions 3 and 4.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 키워드
- Endomorphisms
- 키워드
- Macaulay2
- 기타저자
- University of California, Los Angeles Mathematics 0540
- 기본자료저록
- Dissertations Abstracts International. 87-06B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798265484512
■035 ▼a(MiAaPQ)AAI32398672
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aJoshi, Rohan Shirish.
■24510▼aOn Toric Varieties and Endomorphisms
■260 ▼a[Sl]▼bUniversity of California, Los Angeles▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a80 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-06, Section: B.
■500 ▼aAdvisor: Totaro, Burt.
■5021 ▼aThesis (Ph.D.)--University of California, Los Angeles, 2025.
■520 ▼aThis thesis has two parts. The first part explores which Picard rank 1 Gorenstein del Pezzo surfaces admit int-amplified endomorphisms. I show that, in all but one case, a rank 1 Gorenstein del Pezzo surface admits an int-amplified endomorphism if and only if it is a certain quotient of a toric variety. The second part is joint work with Zhengning Hu. We develop a method to classify rank 3 smooth weak Fano toric varieties in any dimension using computer algebra system Macaulay2, and complete the classification in dimensions 3 and 4.
■590 ▼aSchool code: 0031.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■653 ▼aAlgebraic geometry
■653 ▼aEndomorphisms
■653 ▼aMacaulay2
■690 ▼a0405
■690 ▼a0642
■71020▼aUniversity of California, Los Angeles▼bMathematics 0540.
■7730 ▼tDissertations Abstracts International▼g87-06B.
■790 ▼a0031
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360943▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
