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Ivan, Cheltsov and Tiago, Duarte Guerreiro and Kento, Fujita and Igor, Krylov and Martinez-Garcia, Jesus (2024) K-stability of Casagrande--Druel varieties. Journal fuer die Reine und Angewandte Mathematik: Crelle's journal. DOI https://doi.org/10.1515/crelle-2024-0074

Abban, Hamid and Cheltsov, Ivan and Denisova, Elena and Etxabarri-Alberdi, Erroxe and Kaloghiros, Anne-Sophie and Jiao, Dongchen and Martinez-Garcia, Jesus and Papazachariou, Theodoros (2024) One-dimensional components in the K-moduli of smooth Fano 3-folds. Journal of Algebraic Geometry. DOI https://doi.org/10.1090/jag/839

Cheltsov, Ivan and Krylov, Igor and Martinez-Garcia, Jesus and Shinder, Evgeny (2024) On maximally non-factorial nodal Fano threefolds. Revista Matematica Iberoamericana, 40 (5). pp. 1781-1798. DOI https://doi.org/10.4171/rmi/1478

Martinez-Garcia, Jesus and Spotti, Cristiano (2023) Some observations on the dimension of Fano K-moduli. In: BGKEMD: International Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, 2019-04 - 2019-11, Moscow, Shanghai and Pohang.

Cascini, Paolo and Martinez-Garcia, Jesus and Rubinstein, Yanir A (2023) On the body of ample angles of asymptotically log Fano varieties. Rendiconti del Circolo Matematico di Palermo Series 2, 72 (2). pp. 773-790. DOI https://doi.org/10.1007/s12215-021-00712-9

Araujo, Carolina and Castravet, Ana-Maria and Cheltsov, Ivan and Fujita, Kento and Kaloghiros, Anne-Sophie and Martinez-Garcia, Jesus and Shramov, Constantin and Süss, Hendrik and Viswanathan, Nivedita (2023) The Calabi Problem for Fano Threefolds. London Mathematical Society Lecture Note Series . Cambridge University Press. (In Press)

Martinez-Garcia, Jesus (2021) Constant scalar curvature Kähler metrics on rational surfaces. Mathematische Nachrichten, 294 (8). pp. 1547-1558. DOI https://doi.org/10.1002/mana.201900382

Gallardo, Patricio and Martinez-Garcia, Jesus and Spotti, Cristiano (2020) Applications of the moduli continuity method to log K-stable pairs. Journal of the London Mathematical Society. DOI https://doi.org/10.1112/jlms.12390

Cheltsov, Ivan and Martinez-Garcia, Jesus (2020) Stable polarized del Pezzo surfaces. International Mathematics Research Notices, 2020 (18). pp. 5477-5505. DOI https://doi.org/10.1093/imrn/rny182

Cheltsov, Ivan and Martinez-Garcia, Jesus (2019) Unstable polarized del Pezzo surfaces. Transactions of the American Mathematical Society, 372 (2019). pp. 7255-7296. DOI https://doi.org/10.1090/tran/7900

Gallardo, Patricio and Martinez-Garcia, Jesus (2019) Moduli of cubic surfaces and their anticanonical divisors. Revista Matemática Complutense, 32 (3). pp. 853-873. DOI https://doi.org/10.1007/s13163-019-00298-y

Gallardo, Patricio and Martinez-Garcia, Jesus and Zhang, Zheng (2018) Compactifications of the moduli space of plane quartics and two lines. European Journal of Mathematics, 4 (3). pp. 1000-1034. DOI https://doi.org/10.1007/s40879-018-0248-7

Gallardo, Patricio and Martinez-Garcia, Jesus (2018) Variations of geometric invariant quotients for pairs, a computational approach. Proceedings of the American Mathematical Society, 146 (6). pp. 2395-2408. DOI https://doi.org/10.1090/proc/13950

Cheltsov, Ivan and Martinez-Garcia, Jesus (2016) Dynamic Alpha-invariants of Del Pezzo Surfaces. International Mathematics Research Notices, 2016 (10). pp. 2994-3028. DOI https://doi.org/10.1093/imrn/rnv229

Martinez-Garcia, Jesus (2014) Log canonical thresholds of del Pezzo surfaces in characteristic p. Manuscripta Mathematica, 145 (1-2). pp. 89-110. DOI https://doi.org/10.1007/s00229-014-0668-8

Martinez-Garcia, Jesus (2013) Dynamic alpha-invariants of del Pezzo surfaces with boundary. PhD thesis, University of Edinburgh.