input: Please answer the following: Information: - Heisuke Hironaka ( Hironaka Heisuke , born April 9 , 1931 ) is a Japanese mathematician . He entered Kyoto University in 1949 . After completing his undergraduate studies at Kyoto University , he received his Ph.D. in 1960 from Harvard while under the direction of Oscar Zariski . He was awarded the Fields Medal in 1970 . He is celebrated for proving in 1964 that singularities of algebraic varieties admit resolutions in characteristic zero . This means that any algebraic variety can be replaced by ( more precisely is birationally equivalent to ) a similar variety which has no singularities . He also introduced Hironaka 's example showing that a deformation of Kahler manifolds need not be Kahler . Hironaka was for many years a Professor of mathematics at Harvard University ( 1968 - 1992 ) but currently lives in Japan . He held teaching positions at Brandeis University ( 1960 - 1963 ) , Columbia University ( 1964 ) and Kyoto University ( 1975 - 1988 ) . He was a president of Yamaguchi University ( 1996 - 2002 ) . He has been active in raising funds for causes such as mathematical education . - Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. - Algebraic varieties are the central objects of study in algebraic geometry. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition. - Algebra (from Arabic ""al-jabr"" meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. - Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. What entity does 'heisuke hironaka' has the relation 'field of work' with?
++++++++++
output: algebraic geometry

input question: Information: - Lower Austria (; ) is the northeasternmost state of the nine states in Austria. The capital of Lower Austria since 1986 is Sankt Polten, the most recently designated capital town in Austria. The capital of Lower Austria had formerly been Vienna, even though Vienna has not officially been part of Lower Austria since 1921. With a land area of and a population of 1.612 million people, it is the largest state in Austria, and in terms of population second only to the federal state of Vienna. - Styria (, Slovene/) is a state or "Bundesland", located in the southeast of Austria. In area it is the second largest of the nine Austrian federated states, covering . It borders Slovenia and the Austrian states of Upper Austria, Lower Austria, Salzburg, Burgenland, and Carinthia. The population (as of ) was . The capital city is Graz which had 276,526 inhabitants at the beginning of 2015. - Slovenia, officially the Republic of Slovenia (Slovene: , abbr.: "RS"), is a nation state in southern Central Europe, located at the crossroads of main European cultural and trade routes. It is bordered by Italy to the west, Austria to the north, Hungary to the northeast, Croatia to the south and southeast, and the Adriatic Sea to the southwest. It covers and has a population of 2.06million. It is a parliamentary republic and a member of the United Nations, European Union, and NATO. The capital and largest city is Ljubljana. - Upper Austria (; Austro-Bavarian: "Obaostarreich") is one of the nine states or "Bundeslander" of Austria. Its capital is Linz. Upper Austria borders on Germany and the Czech Republic, as well as on the other Austrian states of Lower Austria, Styria, and Salzburg. With an area of and 1.437 million inhabitants, Upper Austria is the fourth-largest Austrian state by land area and the third-largest by population. - Murau is the capital of the district of the same name in Styria , located along the Mur river . It has a population of 2,124 . - Graz is the capital of Styria and second-largest city in Austria after Vienna. On 1 January 2017, it had a population of 320,587 (of which 286,686 had principal residence status). In 2014, the population of the Graz Larger Urban Zone who had principal residence status stood at 605,143. - Burgenland (; ) is the easternmost and least populous state of Austria. It consists of two statutory cities and seven rural districts, with in total 171 municipalities. It is long from north to south but much narrower from west to east (wide at Sieggraben). The region is part of the Centrope Project. What entity does 'murau' has the relation 'country' with????
output answer:
austria