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The Hilbert-Chow Algebra of a Proper Surface and Grojnowski Calculus
The Hilbert-Chow Algebra of a Proper Surface and Grojnowski Calculus
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151449
- ISBN
- 9798382776354
- DDC
- 510
- 서명/저자
- The Hilbert-Chow Algebra of a Proper Surface and Grojnowski Calculus
- 발행사항
- [Sl] : Harvard University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 78 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Harris, Joseph.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2024.
- 초록/해제
- 요약We exhibit that the direct sum of the Chow groups of the Hilbert schemes of points on a proper smooth surface has a commutative ring structure, an action from the multiplicative semigroup of positive integers, and a self-action by differentials; and how they are compatible with each other. Moreover, for every curve in this surface, there are canonical homomorphisms from the ring of symmetric functions compatible with actions from the multiplicative semigroup of positive integers; and, for every point on this curve or rational family of curves, we describe canonical derivatives of this homomorphism. This structure allows us to have a unifying view of the Nakajima operators, and, in the projective plane case, the Mallavibarrena-Sols basis.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 키워드
- Hilbert schemes
- 기타저자
- Harvard University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798382776354
■035 ▼a(MiAaPQ)AAI31296684
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aChavez Sarmiento, Raul Arturo.▼0(orcid)0009-0005-7042-9931
■24510▼aThe Hilbert-Chow Algebra of a Proper Surface and Grojnowski Calculus
■260 ▼a[Sl]▼bHarvard University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a78 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Harris, Joseph.
■5021 ▼aThesis (Ph.D.)--Harvard University, 2024.
■520 ▼aWe exhibit that the direct sum of the Chow groups of the Hilbert schemes of points on a proper smooth surface has a commutative ring structure, an action from the multiplicative semigroup of positive integers, and a self-action by differentials; and how they are compatible with each other. Moreover, for every curve in this surface, there are canonical homomorphisms from the ring of symmetric functions compatible with actions from the multiplicative semigroup of positive integers; and, for every point on this curve or rational family of curves, we describe canonical derivatives of this homomorphism. This structure allows us to have a unifying view of the Nakajima operators, and, in the projective plane case, the Mallavibarrena-Sols basis.
■590 ▼aSchool code: 0084.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■653 ▼aGrojnowski calculus
■653 ▼aHilbert schemes
■653 ▼aHilbert-Chow algebra
■653 ▼aMallavibarrena-Sols basis
■653 ▼aNakajima operators
■690 ▼a0405
■690 ▼a0642
■71020▼aHarvard University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0084
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161820▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
