Publications

Published Papers

• Ye, F., & Pham, D. (2022). Symplectic Lie groups and Double Geometry. Acta Mathematica Universitatis Comenianae, 91(2), 161-190.
• Ye, F., & Zhu, Z. (2020). On Fujita’s freeness conjecture in dimension 5. Advances in Mathematics, 371, 1-56.
• Ye, F., Zhang, T., & Zhu, Z. (2018). Sakai’s theorem for Q-divisors on surfaces and applications. Asian Journal of Mathematics 22(4), 761–786.
• Ye, F., & Zhu, Z. (2017). Global generation of adjoint line bundles on projective 5-folds. Manuscripta Mathematica, 153(3), 545–562.
• Liu, P., Lu, J., & Ye, F. (2017). On lower bounds for slopes of totally ramified triple cover fibrations. Asian Journal of Mathematics, 21, 981–994.
• Amram, M., Cohen, M., Sun, H., Teicher, M., Ye, F., & Zarkh, A. (2015). Combinatorial symmetry of line arrangements and applications. Topology and Its Applications, 193, 226–247.
• Yau, S. S.-T., & Ye, F. (2013). Several splitting criteria for vector bundles and reflexive sheaves. Pacific Journal of Mathematics, 266(2), 449–456.
• Amram, M., Teicher, M., & Ye, F. (2013). Moduli spaces of arrangements of 10 projective lines with quadruple points. Advances in Applied Mathematics, 51(3), 392–418.
• Ye, F. (2013). Classification of moduli spaces of arrangements of nine projective lines. Pacific Journal of Mathematics, 265(1), 243–256.
• Tan, S.-L., Yau, S. S.-T., & Ye, F. (2011). A note on the topology of the complements of fiber-type line arrangements in \(\mathbb{CP}^2\). Pacific Journal of Mathematics, 251.
• Yau, S. S.-T., & Ye, F. (2009). Diffeomorphic types of complements of nice point arrangements in \(\mathbb{CP}^l\). Science in China Series A: Mathematics, 52(12), 2774–2791.

Preprints

1. Pham, D. & Ye, F. (2020). Left invariant complex structures on double Lie groups Submitted.

2. Amram, M., Cohen, M., Teicher, M., & Ye, F. (2013). Moduli spaces of ten-line arrangements with double and triple points. ArXiv.

Research Notes

These notes were written for student seminar or self-study purpose and may contain typos and mistakes. Please feel free to email me about typos and mistakes.

• Filtrations of Vector Bundles on Smooth Projective Algebraic Curves, 2010 Spring

• Introduction to Invariant Theory and GIT, 2010 Spring

• A Brief Introduction of Characteristic Varieties of Line Arrangements, 2011 Fall.

• Geometry of Cohen-Macaulay Rings, 2012 Spring

Talks and Lectures

• Introduction to \(\mathcal{D}\)-modules, Commutative Algebra & Algebraic Geometry Seminar, CUNY Graduate Center, New York City, March 15, 2019.

• Higher syzygies on Abelian Threefolds, Workshop on Complex Geometry, University of Hong Kong, Hong Kong, July 20, 2018.

• Application of Multiplier Ideals to Geometry and Algebra of Adjoint Line Bundles, Dynamic System and Algebraic Geometry Workshop, Zhejiang University, Hangzhou, China, January 1, 2018

• Multiplier Ideals and Applications to Adjoint Line Bundles, Commutative Algebra & Algebraic Geometry Seminar, CUNY Graduate Center, New York City, October 20, 2017.

• A characterization of big Q-divisors on surfaces and its applications, Commutative Algebra & Algebraic Geometry Seminar, CUNY Graduate Center, New York City, March 3, 2017.

• A non-vanishing theorem for big divisors on surfaces and its applications, Geometry Seminar, University of Hong Kong, Hong Kong, July 6, 2016.

• On base point freeness of adjoint linear systems on projective 5-folds, Math Department Colloquium, Jinan University, Guangzhou, July 1, 2016.

• Okounkov bodies: introduction I & II, Study group on Toric and Spherical Varieties, CUNY Graduate Center, New York, April 4 and 11, 2016.

• Fujita’s Freeness Conjecture on 5-folds, Workshop on Complex Geometry, University of Hong Kong, Hong Kong, July 23, 2015.

• Rational Curves on CP-Manifolds, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, March 27, 2015.

• Mori Contractions on CP-Manifolds, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, February 9, 2015.

• Mori’s Theorems on Rational Curves, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, January 5, 2015.

• Rational Curves on Fano Manifolds with Nef Tangent bundles, Working Seminar on Several complex variables and Complex geometry, University of Hong Kong, February 2, 2015.

• Effective Freeness of Adjoint Linear Systems on 5-folds, Algebraic Geometry Seminar, East China Normal University, Shanghai, September 22, 2014

• Classification of Arrangements of 10 Lines, Complex Geometry, National University of Singapore, Singapore, July 26, 2013

• Global Generation of Adjoint Line Bundles, Young Mathematician Workshop on Arithmetic Algebraic Geometry, East China Normal University, Shanghai, July 9, 2013

• Some Splitting Criteria for Vector Bundles and Reflexive Sheaves, The Hong Kong Mathematical Society Annual General Meeting 2013, Hong Kong, June 8, 2013

• Mori’s existence theorem on rational curves, Working Seminar on Complex Geometry, the University of Hong Kong, Hong Kong, March 5, 2013

• Hirzebruch’s Construction of Ball Quotient Surfaces, Working Seminar on Complex Geometry, the University of Hong Kong, Hong Kong, February 4, 2013

• Effective Freeness of Adjoint Linear Systems, Mini Workshop on Complex Geometry, the University of Hong Kong, Hong Kong, January 10, 2013.

• Irreducibility of Moduli Spaces of Arrangements of Lines, IMR Geometry Seminar, the University of Hong Kong, Hong Kong, July 24, 2012