Sharp upper estimate of geometric genus and coordinate-free characterization of isolated homogeneous hypersurface singularities

Asian Journal of Mathematics ◽

10.4310/ajm.2018.v22.n4.a1 ◽

2018 ◽

Vol 22 (4) ◽

pp. 599-646

Author(s):

Ke-Pao Lin ◽

Sarvasva Raghuvanshi ◽

Stephen S.-T. Yau ◽

Huaiqing Zuo

Keyword(s):

Geometric Genus ◽

Hypersurface Singularities ◽

Homogeneous Hypersurface ◽

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Characterization of isolated homogeneous hypersurface singularities in ℂ4

Science in China Series A Mathematics ◽

10.1007/s11425-006-2062-9 ◽

2006 ◽

Vol 49 (11) ◽

pp. 1576-1592 ◽

Author(s):

Kepao Lin ◽

Zhenhan Tu ◽

Stephen S. T. Yau

Keyword(s):

Hypersurface Singularities ◽

Homogeneous Hypersurface

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Complete characterization of isolated homogeneous hypersurface singularities

Pacific Journal of Mathematics ◽

10.2140/pjm.2015.273.213 ◽

2015 ◽

Vol 273 (1) ◽

pp. 213-224 ◽

Author(s):

Stephen Yau ◽

Huaiqing Zuo

Keyword(s):

Complete Characterization ◽

Hypersurface Singularities ◽

Homogeneous Hypersurface

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A remark on lower bound of Milnor number and characterization of homogeneous hypersurface singularities

Communications in Analysis and Geometry ◽

10.4310/cag.2006.v14.n4.a2 ◽

2006 ◽

Vol 14 (4) ◽

pp. 625-632 ◽

Author(s):

Ke-Pao Lin ◽

Hing-Sun Luk ◽

Xi Wu ◽

Stephen S.-T. Yau

Keyword(s):

Lower Bound ◽

Milnor Number ◽

Hypersurface Singularities ◽

Homogeneous Hypersurface

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Lower estimate of Milnor number and characterization of isolated homogeneous hypersurface singularities

Pacific Journal of Mathematics ◽

10.2140/pjm.2012.260.245 ◽

2012 ◽

Vol 260 (1) ◽

pp. 245-255 ◽

Author(s):

Stephen Yau ◽

Huaiqing Zuo

Keyword(s):

Lower Estimate ◽

Milnor Number ◽

Hypersurface Singularities ◽

Homogeneous Hypersurface

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Errata to “A remark on lower bound of Milnor number and characterization of homogeneous hypersurface singularities”

Communications in Analysis and Geometry ◽

10.4310/cag.2006.v14.n5.e1 ◽

2006 ◽

Vol 14 (5) ◽

Keyword(s):

Lower Bound ◽

Milnor Number ◽

Hypersurface Singularities ◽

Homogeneous Hypersurface

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A numerical characterization of hypersurface singularities

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1993-1150648-0 ◽

1993 ◽

Vol 119 (1) ◽

pp. 15-15

Author(s):

Juan El{í}as

Keyword(s):

Numerical Characterization ◽

Hypersurface Singularities

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Characterization of isolated complete intersection singularities with $\mathbb{C}^*$-action of dimension $n \geq 2$ by means of geometric genus and irregularity

Communications in Analysis and Geometry ◽

10.4310/cag.2013.v21.n3.a2 ◽

2013 ◽

Vol 21 (3) ◽

pp. 509-526 ◽

Author(s):

Stephen Yau ◽

Huaiqing Zuo

Keyword(s):

Complete Intersection ◽

Geometric Genus

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Characterization of hypersurface singularities in positive characteristic

Revista de la Unión Matemática Argentina ◽

10.33044/revuma.v61n2a17 ◽

2020 ◽

pp. 457-468

Author(s):

Amir Shehzad ◽

Muhammad Ahsan Binyamin ◽

Hasan Mahmood

Keyword(s):

Positive Characteristic ◽

Hypersurface Singularities

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The reconstruction and recognition problems for homogeneous hypersurface singularities

Topics on Real and Complex Singularities ◽

10.1142/9789814596046_0006 ◽

2014 ◽

Author(s):

A. V. Isaev

Keyword(s):

Hypersurface Singularities ◽

Homogeneous Hypersurface

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Sharp polynomial upper estimate of number of positive integral points in tetrahedron and coordinate free characterization of homogeneous polynomials

First International Congress of Chinese Mathematicians - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/020/20 ◽

2001 ◽

pp. 251-259

Keyword(s):

Homogeneous Polynomials ◽

Integral Points ◽

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