Xinyi Yuan's Publications
The following files may be slightly different from the published versions.
My recent works:
My works on Arakelov geometry, arithmetic geometry and algebraic dynamics:

Geometric Bogomolov conjecture in arbitrary characteristics (with Junyi Xie),
Invent. Math. 229 (2022), no.2, 607637.

Positivity of Hodge bundles of abelian varieties over some function fields, Compos. Math. 157 (2021), no. 9, 19642000.

Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties
(with Tong Zhang), J. Reine Angew. Math. 736 (2018), 255284.

The arithmetic Hodge index theorem for adelic
line bundles
(with ShouWu Zhang), Math. Ann. 367 (2017), no. 34, 11231171.

Volumes of Arithmetic Okounkov Bodies, Math. Z. 280 (2015), no. 34, 10751084.

Relative Noether inequality on fibered surfaces
(with Tong Zhang), Adv. Math. 259 (2014), 89115.

Effective Bound of Linear Series on Arithmetic Surfaces
(with Tong Zhang), Duke Math. J. 162 (2013), no. 10, 17231770.

On Volumes of Arithmetic Line Bundles II, preprint, 2009.

On Volumes of Arithmetic Line Bundles,
Compositio Mathematicae 145 (2009), 14471464.

Big Line Bundles over Arithmetic Varieties,
Inventiones Mathematicae 173 (2008), no. 3, 603649.
My works on automorphic forms, Shimura varieties and Lfunctions:

On the averaged Colmez conjecture
(with ShouWu Zhang), Ann. of Math. (2) 187 (2018), no. 2, 533638.

Genus Periods, Genus Points and Congruent Number Problem
(with Ye Tian and ShouWu Zhang), Asian J. Math. 21 (2017), no. 4, 721773.
 A Relative Trace Formula Proof of the GrossZagier Formula
(with Ye Tian and Wei Zhang), in preparation.
 The GrossZagier Formula on Shimura Curves
(with ShouWu Zhang and Wei Zhang),
Annals of Mathematics Studies, Princeton University Press, 2012.
Please see
the erratum.

Triple Product Lseries and GrossSchoen Cycles
(with ShouWu Zhang and Wei Zhang), preprint, 2010.

The GrossKohnenZagier Theorem over Totally Real Fields
(with ShouWu Zhang and Wei Zhang), Compositio Mathematicae 145 (2009), 11471162.
My expository works:

Algebraic Dynamics, Canonical Heights and Arakelov Geometry,
Fifth International Congress of Chinese Mathematicians.
Part 1, 2, 893929,
Amer. Math. Soc., Providence, RI, 2012.

On Faltings heights of abelian varieties
with complex multiplication,
Proceedings of the Seventh International Congress of Chinese Mathematicians,
Vol. I, 521536,
Adv. Lect. Math. (ALM), 43, Int. Press, Somerville, MA, 2019.
Last updated: August 2023