[
    {
        "id": "authors:adpdw-y0d17",
        "collection": "authors",
        "collection_id": "adpdw-y0d17",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20220623-483313800",
        "type": "article",
        "title": "Newton Polygon Stratification of the Torelli Locus in Unitary Shimura Varieties",
        "author": [
            {
                "family_name": "Li",
                "given_name": "Wanlin",
                "clpid": "Li-Wanlin"
            },
            {
                "family_name": "Mantovan",
                "given_name": "Elena",
                "clpid": "Mantovan-E"
            },
            {
                "family_name": "Pries",
                "given_name": "Rachel",
                "orcid": "0000-0001-5987-0324",
                "clpid": "Pries-Rachel"
            },
            {
                "family_name": "Tang",
                "given_name": "Yunqing",
                "clpid": "Tang-Yunqing"
            }
        ],
        "abstract": "We study the intersection of the Torelli locus with the Newton polygon stratification of the modulo p reduction of certain Shimura varieties. We develop a clutching method to show that the intersection of the open Torelli locus with some Newton polygon strata is non-empty. This allows us to give a positive answer, under some compatibility conditions, to a question of Oort about smooth curves in characteristic p whose Newton polygons are an amalgamate sum. As an application, we produce infinitely many new examples of Newton polygons that occur for smooth curves that are cyclic covers of the projective line. Most of these arise in inductive systems that demonstrate unlikely intersections of the open Torelli locus with the Newton polygon stratification in Siegel modular varieties. In addition, for the 20 special Shimura varieties found in Moonen's work, we prove that all Newton polygon strata intersect the open Torelli locus (if p>>0 in the supersingular cases).",
        "doi": "10.1093/imrn/rnaa306",
        "issn": "1073-7928",
        "publisher": "Oxford University Press",
        "publication": "International Mathematics Research Notices",
        "publication_date": "2022-05",
        "series_number": "9",
        "volume": "2022",
        "issue": "9",
        "pages": "6464-6511"
    },
    {
        "id": "authors:xjwf7-exd84",
        "collection": "authors",
        "collection_id": "xjwf7-exd84",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20190109-095500540",
        "type": "article",
        "title": "Newton polygons arising from special families of cyclic covers of the projective line",
        "author": [
            {
                "family_name": "Li",
                "given_name": "Wanlin",
                "clpid": "Li-Wanlin"
            },
            {
                "family_name": "Mantovan",
                "given_name": "Elena",
                "orcid": "0000-0003-4521-2130",
                "clpid": "Mantovan-E"
            },
            {
                "family_name": "Pries",
                "given_name": "Rachel",
                "orcid": "0000-0001-5987-0324",
                "clpid": "Pries-Rachel"
            },
            {
                "family_name": "Tang",
                "given_name": "Yunqing",
                "clpid": "Tang-Yunqing"
            }
        ],
        "abstract": "By a result of Moonen, there are exactly 20 positive-dimensional families of cyclic covers of the projective line for which the Torelli image is open and dense in the associated Shimura variety. For each of these, we compute the Newton polygons, and the \u03bc-ordinary Ekedahl\u2013Oort type, occurring in the characteristic p reduction of the Shimura variety. We prove that all but a few of the Newton polygons appear on the open Torelli locus. As an application, we produce multiple new examples of Newton polygons and Ekedahl\u2013Oort types of Jacobians of smooth curves in characteristic p. Under certain congruence conditions on p, these include: the supersingular Newton polygon for genus 5, 6, 7; fourteen new non-supersingular Newton polygons for genus 5\u20137; eleven new Ekedahl\u2013Oort types for genus 4\u20137 and, for all g \u2265 6, the Newton polygon with p-rank g\u22126 with slopes 1 / 6 and 5 / 6.",
        "doi": "10.1007/s40993-018-0149-3",
        "issn": "2522-0160",
        "publisher": "Springer Nature",
        "publication": "Research in Number Theory",
        "publication_date": "2019-03",
        "series_number": "1",
        "volume": "5",
        "issue": "1",
        "pages": "Art. No. 12"
    }
]