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

The arithmetic Hodge index theorem for adelic line bundles II: finitely generated fields
(with ShouWu Zhang), preprint.

On Volumes of Arithmetic Line Bundles II, preprint.

The arithmetic Hodge index theorem for adelic
line bundles
(with ShouWu Zhang), Math. Ann. (2016), 149.

Effective Bounds of Linear Series on Algebraic Varieties and Arithmetic Varieties
(with Tong Zhang), J. Reine Angew. Math., DOI: 10.1515/crelle20150025.

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

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

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,
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), accepted by Annals of Mathematics.
 A Relative Trace Formula Proof of the GrossZagier Formula
(with Ye Tian and Wei Zhang), in preparation.

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

Genus Periods, Genus Points and Congruent Number Problem
(with Ye Tian and ShouWu Zhang), to appear in Asian J. of Math.
 The GrossZagier Formula on Shimura Curves
(with ShouWu Zhang and Wei Zhang),
Annals of Mathematics Studies, Princeton University Press, 2012.
Please see
the description.

The GrossKohnenZagier Theorem over Totally Real Fields
(with ShouWu Zhang and Wei Zhang), Compositio Mathematicae 145 (2009), 11471162.
My expository works:
Last updated: 21 Aug 2017