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researcher

Eugene Z. Xia

24 papers hereh-index 12455 citations30 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author5
  • middle author1
  • last author18

Across the 24 of 24 papers where every author was matched, so the position is known.

fields
  • math.AG11
  • math.DS8
  • math.SG3
  • math.DG1
  • math.GT1

identity via Semantic Scholar / OpenAlex

activity
19982020
most citedThe Moduli of Flat U(p,1) Structures on Riemann Surfaces

9 citations · 55 across the 23 of their papers we have counts for

collaborators
Showing 2004Show all

2 papers · 1 filter

math.AG2004

Non-abelian Local Invariant Cycles

Yen-lung Tsai, Eugene Z. Xia

Let f be a degeneration of Kahler manifolds. The local invariant cycle theorem states that for a smooth fiber of the degeneration, any cohomology class, invariant under the monodro…

math.DG2004★ 1 cited

Rank One Higgs Bundles and Representations of Fundamental Groups of Riemann Surfaces

William M. Goldman, Eugene Z. Xia

This expository paper details the theory of rank one Higgs bundles over a closed Riemann surface X and their relationship to representations of the fundamental group of X. We const…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.