논문KCI 등재
Smoothly embedded rational homology balls
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we prove the existence of rational homology balls smoothly embedded in regular neighborhoods of certain linear chains of smooth $2$-spheres by using techniques from minimal model program for 3-dimensional complex algebraic variety.
Abstract
In this paper we prove the existence of rational homology balls smoothly embedded in regular neighborhoods of certain linear chains of smooth $2$-spheres by using techniques from minimal model program for 3-dimensional complex algebraic variety.
참고문헌 (21)
- A. Casson, "Some homology lens spaces which bound rational homology balls", Pacific J. Math, 96(1), pp.23~36 (1981)
- R. Fintushel, "Rational blowdowns of smooth 4-manifolds", J. Differential Geom, 46(2), pp.181~235 (1997)
- P. Hacking, "Flipping surfaces", arXiv:1310.1580, ~
- T. Khodorovskiy, "Smooth embeddings of rational homology balls", Topology Appl, 161, pp.386~396 (2014)
- J. Koll´ar, "Classification of three-dimensional flips", J. Amer. Math. Soc, 5(3), pp.533~703 (1992)
- J. Koll´ar, "Threefolds and deformations of surface singularities", Invent. Math, 91(2), pp.299~338 (1988)
- Y. Lee, "A simply connected surface of general type with pg = 0 and K2 = 2", Invent. Math, 170, pp.483~505 (2007)
- Y. Lee, "A complex surface of general type with pg = 0, K2 = 2 and H1 = Z", 2Z, 2009, pp.16, 323~330
- H. Park, "A simply connected surface of general type with pg = 0and K2 = 3", Geom. Topol, 13(2), pp.743~767 (2009)
- H. Park, "A simply connected surface of general type with pg = 0 and K2 = 4", Geom. Topol, 13(3), pp.1483~1494 (2009)
- H. Park, "A, A complex surface of general type with pg = 0, K2 = 2 and H1 = Z", 4Z, 2013, pp.365(11), 5713~5736
- 박희상, "Surfaces of general type with pg=1 and q=0", 대한수학회지, 50(3), pp.493~507 (2013), 대한수학회
- H. Park, "A simply connected numerical Campedelli surface with an involution", Math. Ann, 357(1), pp.31~49 (2013)
- J. Park, "Seiberg-Witten invariants of generalised rational blow-downs", Bull. Austral. Math. Soc, 56(3), pp.363~384 (1997)
- J. Park, "Simply connected symplectic 4-manifolds with b +2 = 1 and c 21 = 2", Invent. Math, 159(3), pp.657~667 (2005)
- J. Park, "Exotic smooth structures on CP2#5CP2", Math. Res. Lett, 12(5-6), pp.701~712 (2005)
- O. Riemenschneider, "Deformationen von Quotientensingularit¨aten (nach zyklischen Gruppen)", Math. Ann, 209, pp.211~248 (1974)
- A. Stipsicz, "An exotic smooth structure on CP2#6CP2", Geom. Topol, 9, pp.813~832 (2005)
- G. Urz´ua, "Identifying neighbors of stable surfaces", The Annali della Scuola Normale Superiore di Pisa[DOI]
- J. Wahl, "Equisingular deformations of normal surface singularities", I, Ann. of Math, 104(2), pp.325~356 (1976)
- J. Wahl, "Smoothing of normal surface singularities", Topology, 20(3), pp.219~246 (1981)
관련 논문AI추천
Rational homology balls in 2-handlebodies박희상, 신동수대한수학회 · 대한수학회보2017 · 제54권 제6호Rational homology balls in Milnor fibers of cyclic quotient surface singularities박희상, 신동수대한수학회 · 대한수학회보2024 · 제61권 제6호Symplectic fillings of quotient surface singularities and minimal model program박희상, 신동수, 최학호대한수학회 · 대한수학회지2021 · 제58권 제2호Rational homology disk smoothings and Lefschetz fibrations최학호대한수학회 · 대한수학회지2023 · 제60권 제1호Simply connected complex surfaces of general type with pg=0 and K2=1,2박종일, 박희상, 신동수, 윤기헌대한수학회 · 대한수학회논문집2017 · 제32권 제3호Surfaces of general type with pg=1 and q=0박종일, 박희상, 신동수대한수학회 · 대한수학회지2013 · 제50권 제3호
이 간행물의 다른 논문 (13건)
The $\overline\partial$-problem with support conditions and pseudoconvexity of general order in K\"ahler manifoldsSayed Saberpp. 1211-1223On $n$-absorbing ideals and the $n$-Krull dimension of a commutative ringHosein Fazaeli Moghimi, Sadegh Rahimi Naghanipp. 1225-1236Classification of order sixteen non-symplectic automorphisms on K3 surfacesShingo Taki, Dima Al Tabbaa, Alessandra Sartipp. 1237-1260Some expressions for the inverse integral transform via the translation theorem on function space장승준, 정현수pp. 1261-1273Convergence rates for sequences of conditionally independent and conditionally identically distributed random variablesDe-Mei Yuanpp. 1275-1292
