Mathematical Sciences: Torsionfree Modules over Affine      Coordinate Rings
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This research will consider finitely generated torsionfree                 modules over coordinate rings of affine algebraic varieties,                    particularly surfaces and three-folds.  The principal                           investigator will obtain a theory of direct-sum cancellation for                these modules and will apply it to specific cancellation                        problems.  This will be accomplished by classifying all                         indecomposable finitely generated torsionfree modules over                      surfaces with only rational double points as singularities and by               obtaining invariants for direct sums of these modules.                               This research is in the general area of commutative algebra                and is concerned with the structure theory of modules and                       cancellation problems.  This work is an interesting combination                 of techniques from classical module theory and geometry.  The                   questions that will be examined are deep and important.  The                    outcome of this project will be of interest to the mathematical                 community.
{'FirstName': 'Roger', 'LastName': 'Wiegand', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Roger A Wiegand', 'EmailAddress': 'rwiegand@math.unl.edu', 'NSF_ID': '000303986', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Nebraska-Lincoln', 'CityName': 'LINCOLN', 'ZipCode': '685032427', 'PhoneNumber': '4024723171', 'StreetAddress': '2200 VINE ST # 830861', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Nebraska', 'StateCode': 'NE', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'NE01', 'ORG_UEI_NUM': 'HTQ6K6NJFHA6', 'ORG_LGL_BUS_NAME': 'BOARD OF REGENTS OF THE UNIVERSITY OF NEBRASKA', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8701243.xml'}